The complete set of values of a for whic...

The complete set of values of a for which the function `f(x)=tan^(-1)(x^(2)-18x +a)gt 0 AA x in R` is

A

`(81,oo)`

B

`[81,oo)`

C

`(-oo,81)`

D

`(-oo,81]`

Verified by Experts

The correct Answer is:

A

`tan^(-1)(x-18x+a)gt 0 AA x in R`
`rarr x^(2)-18x+a gt 0 AA x in R`
`rArr D = (18)^(2) - 4a lt 0`
`rArr a gt 81`
`rArr a in (81, oo)`

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